Question
The dimension of surface tension is ______.
This question was previously asked in
RRB NTPC 2024 Undergraduate CBT 1 Question Paper (29-Aug-2025) (Shift 1)
The correct answer is
ML⁰T⁻²
Surface tension is defined as the force acting per unit length on the surface of a liquid. The formula for surface tension (\( \gamma \)) is given by:
\( \gamma = \frac{F}{L} \)
where:
- \( \gamma \) represents surface tension
- \( F \) represents force
- \( L \) represents length
The dimension of force (F) is \( MLT^{-2} \) and the dimension of length (L) is \( L \).
Therefore, the dimension of surface tension is:
\( [\gamma] = \frac{[F]}{[L]} = \frac{MLT^{-2}}{L} = MT^{-2} \)
This can also be written as \( ML^0T^{-2} \).
Therefore, the correct option is ML⁰T⁻².
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